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Finding the Third Proportional to 413,397 and 885,843

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Solution

The third proportional to 413,397 and 885,843 is: 1,898,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,397 : 885,843 = 885,843 : x
  2. Step 2: Convert to fraction form
    413,397/885,843 = 885,843/x
  3. Step 3: Cross multiply
    413,397x = 885,843 × 885,843
  4. Step 4: Simplify right side
    413,397x = 784,717,820,649
  5. Step 5: Solve for x
    x = 784,717,820,649/413,397
  6. Step 6: Final answer
    x = 1,898,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.